42034200243024 has 80 divisors (see below), whose sum is σ = 118561182027264. Its totient is φ = 12726758678400.

The previous prime is 42034200243019. The next prime is 42034200243043.

42034200243024 is nontrivially palindromic in base 10.

42034200243024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42034200242982 and 42034200243000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33374124 + ... + 34610699.

Almost surely, 2^{42034200243024} is an apocalyptic number.

42034200243024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42034200243024 is an abundant number, since it is smaller than the sum of its proper divisors (76526981784240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42034200243024 is a wasteful number, since it uses less digits than its factorization.

42034200243024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67986016 (or 67986010 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 42034200 and 243024, that added together give a palindrome (42277224).

The spelling of 42034200243024 in words is "forty-two trillion, thirty-four billion, two hundred million, two hundred forty-three thousand, twenty-four".